Question

A barefoot field-goal kicker imparts a speed of 54 m/s to a football initially at rest. If the football has a mass of 0.55 kg and the time of contact with the ball is 0.033 s, what is the magnitude of the force exerted by the ball on the kicker’s foot? Answer in units of N.

Answer 1

Answer:

Force, F = 900 N

Explanation:

Given that,

Mass of the football, m = 0.55 kg

Initial speed of the ball, u = 0

Final speed, v = 54 m/s

Time of contact, t = 0.033 s

We need to find the magnitude of the force exerted by the ball on the kicker’s foot. It is a case of second law of motion. It is equal to the rate of change of momentum. So,

$F=\dfrac{\Delta p}{\Delta t}\\\\F=\dfrac{mv}{t}\\\\F=\dfrac{0.55\times 54}{0.033 }\\\\F=900\ N$

So, the magnitude of the force exerted by the ball on the kicker’s foot is 900 N.